Fix broken NPM distributables

[Archmonger]

Description

In the previous PRs, I had attempted to work-around the lack of Trusted Publishing in bun publish by utilizing npm publish. However, bun publish appears to also include hidden features such as path translations for bun specific package.json syntax. Additionally, npm publish will utilize .gitignore to determine which files to exclude from the upload, which is different behavior than npm publish. This ultimately made packages published in the last release unusable.

To fix this, we must now first create bundle the package into a tgz archive using bun pm pack before uploading it via npm publish dist.tgz.

Checklist

Please update this checklist as you complete each item:

• Tests have been developed for bug fixes or new functionality.
• The changelog has been updated, if necessary.
• Documentation has been updated, if necessary.
• GitHub Issues closed by this PR have been linked.

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